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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#759973 | #9553. The Hermit | MiniLong | AC ✓ | 27ms | 25416kb | C++20 | 3.0kb | 2024-11-18 13:47:38 | 2024-11-18 19:53:14 |
Judging History
answer
#include <bits/stdc++.h>
#define _rep(i, x, y) for(int i = x; i <= y; ++i)
#define _req(i, x, y) for(int i = x; i >= y; --i)
#define _rev(i, u) for(int i = head[u]; i; i = e[i].nxt)
#define pb push_back
#define fi first
#define se second
#define mst(f, i) memset(f, i, sizeof f)
using namespace std;
#ifdef ONLINE_JUDGE
#define debug(...) 0
#else
#define debug(...) fprintf(stderr, __VA_ARGS__), fflush(stderr)
#endif
typedef long long ll;
typedef pair<int, int> PII;
namespace fastio{
#ifdef ONLINE_JUDGE
char ibuf[1 << 20],*p1 = ibuf, *p2 = ibuf;
#define get() p1 == p2 && (p2 = (p1 = ibuf) + fread(ibuf, 1, 1 << 20, stdin), p1 == p2) ? EOF : *p1++
#else
#define get() getchar()
#endif
template<typename T> inline void read(T &t){
T x = 0, f = 1;
char c = getchar();
while(!isdigit(c)){
if(c == '-') f = -f;
c = getchar();
}
while(isdigit(c)) x = x * 10 + c - '0', c = getchar();
t = x * f;
}
template<typename T, typename ... Args> inline void read(T &t, Args&... args){
read(t);
read(args...);
}
template<typename T> void write(T t){
if(t < 0) putchar('-'), t = -t;
if(t >= 10) write(t / 10);
putchar(t % 10 + '0');
}
template<typename T, typename ... Args> void write(T t, Args... args){
write(t), putchar(' '), write(args...);
}
template<typename T> void writeln(T t){
write(t);
puts("");
}
template<typename T> void writes(T t){
write(t), putchar(' ');
}
#undef get
};
using namespace fastio;
#define multitest() int T; read(T); _rep(tCase, 1, T)
namespace Calculation{
const ll mod = 998244353;
ll ksm(ll p, ll h){ll base = p % mod, res = 1; while(h){if(h & 1ll) res = res * base % mod; base = base * base % mod, h >>= 1ll;} return res;}
void dec(ll &x, ll y){x = ((x - y) % mod + mod) % mod;}
void add(ll &x, ll y){x = (x + y) % mod;}
void mul(ll &x, ll y){x = x * y % mod;}
ll sub(ll x, ll y){return ((x - y) % mod + mod) % mod;}
ll pls(ll x, ll y){return ((x + y) % mod + mod) % mod;}
ll mult(ll x, ll y){return x * y % mod;}
}
using namespace Calculation;
const int N = 1e5 + 5, _ = 1e5;
ll n, m, f[N][25], fac[N], ifac[N];
ll C(ll n, ll m){
if(n < m || m < 0) return 0;
if(n == m || !m) return 1;
return fac[n] * ifac[m] % mod * ifac[n - m] % mod;
}
int main(){
fac[0] = ifac[0] = fac[1] = ifac[1] = 1;
_rep(i, 2, _) fac[i] = fac[i - 1] * i % mod, ifac[i] = (mod - mod / i) * ifac[mod % i] % mod;
_rep(i, 2, _) ifac[i] = ifac[i - 1] * ifac[i] % mod;
read(m, n);
ll ans = C(m, n) * n % mod;
_rep(i, 1, m){
f[i][1] = 1;
_rep(j, 1, 20){
if(!f[i][j] || j > n) continue;
_rep(k, 2, m / i) add(f[i * k][j + 1], f[i][j]);
ll cur = f[i][j] * C(m / i - 1, n - j) % mod;
dec(ans, cur);
}
}
writeln(ans);
return 0;
}
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Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 9120kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 0ms
memory: 5956kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 20ms
memory: 25252kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 4ms
memory: 9536kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 15ms
memory: 24664kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 16ms
memory: 24652kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 25ms
memory: 25304kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 3ms
memory: 7300kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 2ms
memory: 5884kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 2ms
memory: 6028kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 2ms
memory: 5736kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 3ms
memory: 7252kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 0ms
memory: 5216kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 4ms
memory: 9048kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 2ms
memory: 5708kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 0ms
memory: 7444kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 3ms
memory: 8448kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 20ms
memory: 24612kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 3ms
memory: 13988kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 4ms
memory: 9676kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 2ms
memory: 6040kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 18ms
memory: 24744kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 17ms
memory: 24736kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 16ms
memory: 25196kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 0ms
memory: 9216kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 11ms
memory: 25288kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 11ms
memory: 24688kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 20ms
memory: 24736kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 15ms
memory: 25264kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 4ms
memory: 7652kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 16ms
memory: 24812kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 16ms
memory: 24744kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 17ms
memory: 24652kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 20ms
memory: 25176kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 21ms
memory: 24664kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 20ms
memory: 23616kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 20ms
memory: 23488kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 2ms
memory: 5788kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 0ms
memory: 9112kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 2ms
memory: 5868kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 2ms
memory: 5260kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 0ms
memory: 5628kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 0ms
memory: 6180kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 3ms
memory: 8776kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 0ms
memory: 5068kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 3ms
memory: 8956kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 11ms
memory: 21084kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 6ms
memory: 19972kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 12ms
memory: 18000kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 16ms
memory: 25068kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 20ms
memory: 24676kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 16ms
memory: 25416kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 27ms
memory: 24792kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed